What is the Greatest Common Factor of 24600 and 24610?

Greatest common factor (GCF) of 24600 and 24610 is 10.

GCF(24600,24610) = 10

We will now calculate the prime factors of 24600 and 24610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24600 and 24610.

How to find the GCF of 24600 and 24610?

We will first find the prime factorization of 24600 and 24610. After we will calculate the factors of 24600 and 24610 and find the biggest common factor number .

Step-1: Prime Factorization of 24600

Prime factors of 24600 are 2, 3, 5, 41. Prime factorization of 24600 in exponential form is:

24600 = 2³ × 3¹ × 5² × 41¹

Step-2: Prime Factorization of 24610

Prime factors of 24610 are 2, 5, 23, 107. Prime factorization of 24610 in exponential form is:

24610 = 2¹ × 5¹ × 23¹ × 107¹

Step-3: Factors of 24600

List of positive integer factors of 24600 that divides 24600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 41, 50, 60, 75, 82, 100, 120, 123, 150, 164, 200, 205, 246, 300, 328, 410, 492, 600, 615, 820, 984, 1025, 1230, 1640, 2050, 2460, 3075, 4100, 4920, 6150, 8200, 12300

Step-4: Factors of 24610

List of positive integer factors of 24610 that divides 24600 without a remainder.

1, 2, 5, 10, 23, 46, 107, 115, 214, 230, 535, 1070, 2461, 4922, 12305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24600 and 24610. The biggest common factor number is the GCF number.
So the greatest common factor 24600 and 24610 is 10.

Also check out the Least Common Multiple of 24600 and 24610